I discuss how to practically put a log structure on a toroidal crossing space, and hopefully sketch applications to smoothing toric Fano varieties and log birational geometry. This is work in progress...
Positively multiplicative graphs are graphs whose adjacency matrix can be embedded in a matrix algebra admitting a distinguished basis labelled by its vertices with nonnegative structure constants. It...
Let (X, D) be a projective kit pair, where KX+D is ample and D has standard coefficients. Guenancia and Taji have shown that a suitable version of the famous Miyaoka--Yau inequality holds in this sett...
An abelian differential is a smooth projective curve endowed with an algebraic one-form. I will discuss the uniformization of the moduli of abelian differentials provided by their periods, its arithme...
We will investigate the arithmetic properties of the j-invariant of a rank two Drinfeld module having CM by an order of an << imaginary quadratic function field. This talk is based on a joint wo...
Kazhdan and Lusztig introduced their eponymous polynomials for a Coxeter group W in 1979. Shortly thereafter, Lascoux and Schuetzenberger studied Kazhdan-Lusztig polynomials for Grassmannians and show...
Lo studio dei limiti di Gromov-Hausdorff di varietà è cominciato negli anni ottanta grazie a un teorema di precompattezza di Gromov per le varietà la cui curvatura di Ricci è limitata inferiormente. S...
In this talk I will explain how to recognize complex tori among Kähler klt spaces (smooth in codimension 2) in terms of vanishing of Chern numbers. It requires first to define Chern classes on singula...
After reviewing some basic properties of holomorphic Poisson geometry, we will present a decomposition result in the Kähler case: if a compact Kähler Poisson manifold has a compact symplectic leaf wit...
C'è una curiosa analogia tra i numeri primi e le lunghezze delle geodetiche chiuse primitive ("prime") sulla superficie modulare. Nel seminario introdurrò le geodetiche in considerazione e cercherò di...
This talk deals with the group of birational transformations of the complex projective plane. After some examples, we will see that this group satisfies some (but not all) properties of linear groups....
Analytic torsion is an important secondary spectral invariant of compact Riemannian manifolds. The famous Cheeger-Müller theorem states that for a compact Riemannian manifold equipped with a unitary f...
